Given that the radius of the moon is roughly one-quarter that of the earth, find the mass of the moon in terms of the mass of the earth

The new period of the pendulum when it is taken to the new planet is  double of its period on Earth.

The period of a pendulum is given by the following formula;

[tex]T = 2\pi \sqrt{\frac{l}{g} }[/tex]

where;

The acceleration due to gravity of the new planet is calculated as follows;

[tex]g_E = \frac{GM_E}{R_E^2} = 9.81 \ m/s^2 \\\\g(new \ planet) = \frac{G(4M_E)}{(4R_E)^2} = \frac{4GM_E}{16R_E^2} = \frac{GM_E}{4R_E^2} = \frac{9.81}{4} = 2.45 \ m/s^2[/tex]

[tex]T = 2\pi \sqrt{\frac{l}{g} } \\\\T =\frac{2\pi \sqrt{l} }{\sqrt{g} } \\\\T_1\sqrt{g_1} = T_2\sqrt{g_2} \\\\T_E\sqrt{g_E} = T\sqrt{g} \\\\T = \frac{T_E\sqrt{g_E}}{\sqrt{g} } \\\\T = \frac{T_E \times \sqrt{9.81} }{\sqrt{2.45} } \\\\T = 2T_E[/tex]

Thus, the new period of the pendulum when it is taken to the new planet is double of its period on Earth.

Learn more about period of pendulum here: https://brainly.com/question/26449711

In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.

A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.

In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.

In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.

Read more on convex lens here: https://brainly.com/question/10153605

Answer:

6m/s

Explanation:

a = (v-u)/t

acceleration, a

initial velocity, u

final velocity, v

time, t

substitute values and you'll get the answer

Answer:

6 m/s

Explanation:

According to Hooke 's law

[tex]\\ \rm\rightarrowtail \nu=k\sqrt{\dfrac{\ell}{m}}[/tex]

[tex]\\ \rm\rightarrowtail \nu\propto \dfrac{1}{\sqrt{m}}[/tex]

Hence lower the mass higher the frequency

The maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

The angular speed of the automobile in radian per second is calculated as follows;

ω = 2πN

ω = 2π x (3590 /60 s)

ω = 375.94 rad/s

The maximum velocity of the piston is calculated using the following formula;

v(max) = Aω

v(max) = 0.0683 x 375.94

v(max) = 25.68 m/s

Thus, the maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

Learn more about angular speed here: https://brainly.com/question/6860269

Answer:

open

Explanation:

in open system mechanical energy is lost to its surroundings

Answer:

I think is o or mavey it could be D

Answer:

if you doctor suspect that you have COPD , they will calculate your fev1/fvc ratio . this represent the percentage of your lung capacity that you can explain in one second. the higher your percentage , the larger your lung capacity and the healthier your lungs

The ratio  [tex]\frac{FEV1}{FVC}[/tex]  indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway.

The volume of air in the lungs at different stages of the respiratory cycle is referred to as lung volumes and lung capacities. An adult human male's entire lung capacity is around 6 liters of air.

The ratio  [tex]\frac{FEV1}{FVC}[/tex]  indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway. As a result, the lower the resistance, the broader the airway becomes.

Hence the lower the resistance, the broader the airway becomes.

To learn more about the lung volume refer to the link;

https://brainly.com/question/15704673

#SPJ4

[tex]\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}[/tex]

Which best describes an action related to interdependence?

A. limiting the amount of fish harvested to ensure future availability

B. finding methods for extracting oil with minimal damage to the environment

C. using calculations to ensure that lumber is used efficiently

D. predicting the profits from selling metal that is extracted from ore

[tex]\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}[/tex]

The living things in an ecosystem are interdependent. This means that living things depend on their interactions with each other and also nonliving things for survival. For example, a tree depends on sunlight for energy and food.

[tex]\small\color{blue}{⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰}[/tex]

-PoliteCat

#CarryOnLearning

[tex]\large\boxed{\text{Learn With Brainly!!}}[/tex]

ᴄʟɪᴄᴋ ᴛʜɪs ↓

Answer:

ooops ignore this it wont let me leave this screen it does this weirdly s

Explanation:

The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.

The angular velocity of the tire is the rate of change of angular displacement of the tire with time.

The magnitude of the angular velocity of the tire is calculated as follows;

ω = 2πN

where;

ω = 2π x (5.25 / 3)

ω =  11 rad/s

The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.

The magnitude of the tangential velocity is caculated as follows;

v = ωr

where;

v = 11r m/s

Learn more about tangential velocity here: https://brainly.com/question/25780931

Answer:

Potential energy.

Explanation:

Batteries are a form of chemical energy which  is stored in the bonds of molecules contained within the battery acid, batteries are a form of potential energy making chemical potential energy too.

The range of frequencies of visible light in a vacuum with wavelength between 300 nm to 700 nm is determined as 4.29 x 10¹⁴ Hz to 1 x 10¹⁵ Hz.

The frequency of the visible light is determined  by using the following formulas relating speed of light and frequency of light.

c = fλ

where;

f = c/λ

f = (3 x 10⁸) / (300 x 10⁻⁹)

f = 1 x 10¹⁵ Hz

f = c/λ

f = (3 x 10⁸) / (700 x 10⁻⁹)

f = 4.29 x 10¹⁴ Hz

Thus, the range of frequencies of visible light in a vacuum with wavelength between 300 nm to 700 nm is determined as 4.29 x 10¹⁴ Hz to 1 x 10¹⁵ Hz.

Learn more about frequency of visible light here: https://brainly.com/question/10728818

Answer:

Mirror angle:

0°

25°

50°

Angle of incidence (θi):

0°

25°

50°

Angle of reflection (θr)

0°

25°

50°

Explanation:

The mirror angle is the same as the angles of incidence and reflection.

Brainlist Pls!

Answer:

The buoyant force on a submerged object depends upon the volume of the object.

Explanation:

Answer:

When a circuit breaker regularly trips or a fuse repeatedly blows, it is a sign that you are making excessive demands on the circuit and need to move some appliances and devices to other circuits. Or, it may indicate that your house has too few circuits and is in need of a service upgrade.

This is defined as a propagation of disturbances from place to place in a regular and organized way.

The answers provided above are therefore the most appropriate choices in this scenario.

Read more about Waves here https://brainly.com/question/15663649

Answer: Light waves do not require a medium to propagate and As a wave's frequency increases, more energy is carried by the wave in a given time period.

Explanation:

Answer:

anywhere between 100000 to about 400000 human years .

Explanation:

Answer:

Temperature on Jupiter and Saturn are too high for methane to condense.

Explanation:

However, methane can condense on Uranus and Neptune because they are farther from the sun and hence colder.

For A 100-cm long dipole is excited by a sinusoidally varying current with an amplitude i0=2 , the time average power radiated  is mathematically given as

P=0.1577w

Generally, the equation for the   is mathematically given as

[tex]\lambda =\frac{c}{f}[/tex]

Therefore

[tex]\lambda=\frac{3\times 10^{8}}{10^{6}}[/tex]

lambda=300m

In conclusion, for the power

[tex]P=40\pi^{2}(I_{0})^{2}(\frac{l}{\lambda})^{2}\\\\P=40* (3.14)^{2}\times6^{2} (\frac{1}{300})^{2}[/tex]

P=0.1577w

Read more about Power

https://brainly.com/question/10203153

The time-averaged power radiated by the dipole if the oscillating frequency is 150 MHz is 0.1577 w.

The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal carried in space or down a wire is defined as the wavelength.

Given that the current is 2 amp, while the frequency is 150 MHz. Therefore, the wavelength can be written as,

[tex]\lambda = \dfrac cf = \dfrac{3 \times 10^8}{10^6} = 300\rm\ m[/tex]

Now, the power can be written as,

[tex]P=40 \pi^2 \times (I_o)^2 \times (\dfrac{l}{\lambda})^2\\\\P = 40 \times \pi ^2 \times 6^2 \times (\dfrac{1}{300})^2\\\\P = 0.1577\rm\ w[/tex]

Hence,  the time-average power radiated by the dipole if the oscillating frequency is 150 MHz is 0.1577 w.

Learn more about Wavelength:

https://brainly.com/question/13533093

#SPJ4

Answer:

There are 602 calories in 10 ounces of Ground Beef (85% Lean / 15% Fat).  serving sizes of Ground Beef

Explanation:

hope this helps if not please let me now

Answer:

C. In a valley .

.............................

The percent of the silo filled with corn at 10 hours is 90.98%.

Silos are used in order to maximize the grain storage life and preserve them. They are round and tall towers with high capacity for commercial or industrial purposes.  

As the silo is in shape of cylinder, volume of the cylinder is

V = πr²h

where r = d/2 = 19/2 =9.5 ft

and h = 32 ft

Substitute the values, we get the volume of silo,

V = 3.14 x (9.5)² x 32 = 9068.32 ft³

The silo is filled with the constant rate. After 10 hours, in silo, the amount of corn will be gone doubled as compared to that of in 5 hours.

Amount of corn after 10 hours = 4125 x 2 = 8250 ft³

Percentage of silo filled in 10 hours = (amount after 10 hrs / total amount) x 100

Substitute the values, we get

=(8250 /9068.32 ) x 100 %

=90.98 %

Thus, the percent of the silo filled with corn at 10 hours is 90.98%.

Learn more about silo.

https://brainly.com/question/15781978

#SPJ4

The distance is the object from the mirror will be 5cm.

A mirror equation is an equation that relates object distance and image distance to focal length. It is often referred to as a mirror formula.

The object distance in a spherical mirror is the distance between the object and the pole of the mirror (u).

The given data in the problem is;

Image height = 18cm

Object height = 10cm

u is the object distance

v is the image distance = 9 cm

From the symmetry of the triangle;

[tex]\frac{image \ height }{object \ height} = \frac{v}{u} \\\\ \frac{18 }{10} = \frac{9}{u}\\\\ \rm u=\frac{90}{8} \\\\ u = 5\ cm[/tex],

Hence the distance is the object from the mirror will be 5cm.

To learn more about the mirror equation refer to the link;

https://brainly.com/question/3229491

The constant velocity that the spacecraft must travel is : 3.49 * 10⁸ m/s

Given data :

Distance of star from earth = 4.3 light years

Observers time = 3.7 years

Observers time = 3.7 * 365 * 24 * 60 * 60

Distance of star from earth = 4.3 * 9.46 * 10¹⁵

The velocity the spacecraft must travel will be calculated using the equation

V = distance / time

   = ( 4.3 * 9.46 * 10¹⁵ ) / ( 3.7 * 365 * 24 * 60 * 60 )

   = 3.49 * 10⁸ m/s

Hence we can conclude that The constant velocity that the spacecraft must travel is : 3.49 * 10⁸ m/s

Learn more about space travelling : https://brainly.com/question/1344685

Attached below is the missing detail related to the question

The constant velocity must the spacecraft travels from the earth will be 3.49×10⁸ m/sec.

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The given data in the problem is

Distance of earth from stars = 4.3 light year

The given time = 3.7 year

One year converted into the second as;

[tex]\rm 1 \ year = 3.7 \times 365 \ days \ \times 24 \ hour \times 60 \ minute \times 60 \ sec \\\\ 1 year = 116 \times 10^6 \ sec[/tex]

1 light-year into a kilometer as;

[tex]\rm 4.3 \ light year = 4.3 \times 9.46 \times 10^{15 metre} \\\\[/tex]

At what constant velocity must a spacecraft travel from the earth if it is to reach the star in 3. 7 years,

The velocity of the spacecraft's travel from the earth will be;

[tex]\rm V = \frac{d}{t} \\\\ V= \frac{4.3 \times 9.46 \times 10^{15}}{3.7 \times 365 \times 24 \times 60 \times 60 } \\\\\ V= 3.49 \times 10^8 \ m/sec[/tex]

Hence the constant velocity must the spacecraft travels from the earth will be  3.49×10⁸ m/sec.

To learn more about the velocity refer to the link;

https://brainly.com/question/862972

#SPJ4

Answer:

0.142 m/s

Explanation:

You solve it by conservation of momentum.

Before the impact the total momentum is, considering right the positive direction,

[tex]m_1v_1+m_2v_2 =6\cdot10^-^3\times 40.4\ kg\cdot m/s + 1.7\times 0 \ kg\cdot m/s =242.4\cdot 10^-^3\ kg\cdot m/s[/tex]

After the impact, we have a single body of mass [tex]m_1+m_2[/tex] and thus a single value of speed, V.

[tex](m_1+m_2)V =1.703 kg \cdot V[/tex]

Since no external forces are applied, the two quantities are equal after the impact. That allows us to solve for V

[tex]V= (242.4\cdot10^-^3 \ kg\cdot m/s )\div (1.703\ kg)=142.337\cdot10^-^3 m/s = 0.142 m/s[/tex]

Answer:

The units for specific heat can either be joules per gram per degree (J/goC) or calories per gram per degree

Explanation:

The answers to your questions are as listed below

A) The total momentum of the system is :  < - 167, 133, 87 >   kg m/s

B) Velocity of the center of mass of this system : < - 10.44 , 8.31, 5.44 > m/s

C) Total kinetic energy of the system : 5159.5 J  

D) Translational kinetic energy of the system :  1660.84 J

E) kinetic energy relative to the center of mass : 3498.66 J

Given data :

m₁ = 4 kg ,   V₁ = < 10, -5, 15 > m/s

m₂ = 9 kg,   V₂ = < -15, 5, -3 > m/s

m₃ = 3 kg    V₃ = < -24, 36, 18 > m/s.

Total momentum = Σ mv

= < 4*10 + 9*(-15) + 3*(-24), 4*(-5) + 9*5 + 3*36, 4*15 + 9 (-3) + 3*18 >

= < - 167, 133, 87 >   kg m/s

Velocity = < - 167 / 16 , 133/ 16, 87/ 16 >

              =  < - 10.44 , 8.31, 5.44 > m/s

Total Kinetic energy = 1/2 m₁v₁² + 1/2 m₂v₂²  + 1/2 m₃v₃²  --- ( 1 )

where : v² = v₁² + v₂² + v₃²

therefore

Total kinetic energy = 700 + 1165.5 + 3294

                                  = 5159.5 J  

Translational kinetic energy ( Kcm ) = 1/2 ( m₁ + m₂ + m₃ ) * Velocity²

                                                           = 1/2 ( 16 ) * (  - 10.44² + 8.31² + 5.44² )

Hence translational kinetic energy = 1660.84 J

E) The Kinetic energy of the system relative to the center of mass

Krel = Ktotal - Kcm

       = 5159.5 - 1660.84

       = 3498.66 J

Hence we can conclude that the answers to your questions are as listed above.

Learn more about Translational kinetic energy :https://brainly.com/question/25959744